A104168 Smallest Smith number with n prime factors.

4, 27, 636, 378, 729, 648, 576, 2688, 17496, 44928, 75776, 168960, 765952, 319488, 958464, 5537792, 5963776, 2883584, 5767168, 7077888, 279969792, 544997376, 778567680, 2579496960, 4567597056, 3875536896, 22749904896, 60699967488, 87509958656, 164886478848, 758296608768, 199715979264, 599147937792, 5295694675968, 446676598784, 2954937499648

Offset: 2

Author

Shyam Sunder Gupta, Mar 10 2005 and May 03 2005

Keywords

• nonn
• base

Comments

a(38) > 1.286e13. - Max Alekseyev, Oct 03 2024

Examples

			a(4) = 636 because 636 is the smallest Smith number with 4 prime factors.
		

Links

• Patrick Costello, A new largest Smith number, Fibonacci Quarterly 40(4) (2002), 369-371.
• Underwood Dudley, Smith numbers, Mathematics Magazine 67(1) (1994), 62-65.
• Shyam Sunder Gupta, Smith Numbers, Mathematical Spectrum 37(1) (2004/5), 27-29.
• Shyam Sunder Gupta, Smith Numbers.
• Shyam Sunder Gupta, Smith Numbers, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 4, 127-157.
• Eric Weisstein's World of Mathematics, Smith number.
• Wikipedia, Smith number.
• Albert Wilansky, Smith Numbers, Two-Year College Math. J. 13(1) (1982), p. 21.
• Amin Witno, Another simple construction of Smith numbers, Missouri J. Math. Sci. 22(2) (2010), 97-101.
• Amin Witno, Smith multiples of a class of primes with small digital sum, Thai Journal of Mathematics 14(2) (2016), 491-495.

Crossrefs

Cf. A006753, A104169.

Extensions

a(28)-a(31) from Donovan Johnson, Jan 02 2013

a(32)-a(37) from Max Alekseyev, Oct 01 2024